258364152 has 96 divisors (see below), whose sum is σ = 738784800. Its totient is φ = 81404928.

The previous prime is 258364151. The next prime is 258364153. The reversal of 258364152 is 251463852.

258364152 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 641 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (258364151) and next prime (258364153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258364151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146508 + ... + 148260.

It is an arithmetic number, because the mean of its divisors is an integer number (7695675).

Almost surely, 2^258364152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258364152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369392400).

258364152 is an abundant number, since it is smaller than the sum of its proper divisors (480420648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258364152 is a wasteful number, since it uses less digits than its factorization.

258364152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1870 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 258364152 is about 16073.7099637887. The cubic root of 258364152 is about 636.9090477524.

The spelling of 258364152 in words is "two hundred fifty-eight million, three hundred sixty-four thousand, one hundred fifty-two".